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Finding the Fourth Proportional to 3,224.84, 4,839.09 and 1,375.78

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Solution

The fourth proportional to 3,224.84, 4,839.09 and 1,375.78 is: 2,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.84 : 4,839.09 = 1,375.78 : x
  2. Step 2: Convert to fraction form
    3,224.84/4,839.09 = 1,375.78/x
  3. Step 3: Cross multiply
    3,224.84x = 4,839.09 × 1,375.78
  4. Step 4: Simplify right side
    3,224.84x = 6,657,516.36
  5. Step 5: Solve for x
    x = 6,657,516.36/3,224.84
  6. Step 6: Final answer
    x = 2,064.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.